100017 has 6 divisors (see below), whose sum is σ = 144482. Its totient is φ = 66672.

The previous prime is 100003. The next prime is 100019. The reversal of 100017 is 710001.

It can be written as a sum of positive squares in only one way, i.e., 53361 + 46656 = 231^2 + 216^2 .

It is not a de Polignac number, because 100017 - 2⁸ = 99761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11113 = 100017 / (1 + 0 + 0 + 0 + 1 + 7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 99981 and 100008.

It is not an unprimeable number, because it can be changed into a prime (100019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5548 + ... + 5565.

2¹⁰⁰⁰¹⁷ is an apocalyptic number.

It is an amenable number.

100017 is a deficient number, since it is larger than the sum of its proper divisors (44465).

100017 is a wasteful number, since it uses less digits than its factorization.

100017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11119 (or 11116 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 100017 is about 316.2546442347. The cubic root of 100017 is about 46.4185184208.

Adding to 100017 its reverse (710001), we get a palindrome (810018).

It can be divided in two parts, 10001 and 7, that multiplied together give a palindrome (70007).

The spelling of 100017 in words is "one hundred thousand, seventeen", and thus it is an iban number.